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GeoGebra

Properties of Parallelograms

Author:Jesse Johnson, Tim Brzezinski, Rosalie83

Here, we have a parallelogram. Interact with this app for a minute. Be sure to move the vertices (corners) of this parallelogram around. Then answer the question that follows.

What does the animation above suggest? Opposite sides of a parallelogram are __________________________.

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Here, we have a parallelogram. Interact with this app for a minute. Be sure to move the vertices (corners) of this parallelogram around. Then answer the question that follows.

What does the animation above suggest? Opposite angles of a parallelogram are __________________________.

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Here, we have a parallelogram. Interact with this app for a minute. Be sure to move the vertices (corners) of this parallelogram around. Then answer the question that follows.

Any 2 interior angles of a parallelogram that are right next to each other are called consecutive angles! In the animation above, the two different colored angles are consecutive angles. What can we conclude here? Consecutive angles of a parallelogram are __________________________.

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Here, we have a parallelogram. Interact with this app for a minute. Be sure to move the vertices (corners) of this parallelogram around. Then answer the question that follows.

A diagonal of a parallelogram is a segment that connects one vertex (corner) to its opposite vertex. What can we conclude about the diagonals of a parallelogram?

Select all that apply
  • A
  • B
  • C
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Here, we have a parallelogram. Interact with this app for a minute. Be sure to move the vertices (corners) of this parallelogram around. Then answer the question that follows.

Does any diagonal of a parallelogram serve as a line of symmetry?

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Question 1

Question 1
Using the properties above, find the missing variables.

Using the image above, what are the values of x and y?

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Question 2

Question 2
Using the properties above, find the missing variables.

Using the image above, what are the values of g and h?

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Question 3

Question 3
Using the properties above, find the missing variables.

Question 3

Using the image above, what are the values of b, c, and d?

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Properties Overview. Select the correct properties!

How did you think the lesson went?

Using the number scale below, please tell me how you thought the lesson went. 1. I am struggling. I do not understand at all. 2. I understand 1-2 properties. 3. It went alright. I know most properties. 4. I think I got it down. 5. I completely understand it.

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Learning Objectives

Learning Objectives 1. Students will know parallelograms have opposite sides congruent. 2. Students will know parallelograms have opposite angle are congruent. 3. Students will know parallelograms have consecutive angles that are supplementary. 4. Students will know diagonals of parallelograms bisect each other.

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